Finding the Third Proportional to 15,748 and 37,124

Step by Step Solution

1. Step 1: Write the proportion equation
   15,748 : 37,124 = 37,124 : x
2. Step 2: Convert to fraction form
   15,748/37,124 = 37,124/x
3. Step 3: Cross multiply
   15,748x = 37,124 × 37,124
4. Step 4: Simplify right side
   15,748x = 1,378,191,376
5. Step 5: Solve for x
   x = 1,378,191,376/15,748
6. Step 6: Final answer
   x = 87,515.33